A Simulation of Phases in the Pyrochlore Lattice

Catherine Tieman

2016

We present a study of states of matter of low temperature hard-core bosons on a pyrochlore lattice with ring-exchange interactions. Simulations such as this one have recently been used to research exotic phases in various materials, with a special interest in finding phases possibly related to high temperature superconductivity, such as quantum spin liquids for fermion models or perhaps those liquids for bosons. We show the application of the Stochastic Green Function algorithm, a Quantum Monte Carlo simulation, on a highly frustrated lattice with hard-core bosons allowed to move both between nearest neighboring sites and in correlated moves around a ring of lattice sites.